International Journal of Theoretical Physics

, Volume 53, Issue 10, pp 3587–3603

Quantum Entanglement in Concept Combinations

Article

DOI: 10.1007/s10773-013-1946-z

Cite this article as:
Aerts, D. & Sozzo, S. Int J Theor Phys (2014) 53: 3587. doi:10.1007/s10773-013-1946-z

Abstract

Research in the application of quantum structures to cognitive science confirms that these structures quite systematically appear in the dynamics of concepts and their combinations and quantum-based models faithfully represent experimental data of situations where classical approaches are problematical. In this paper, we analyze the data we collected in an experiment on a specific conceptual combination, showing that Bell’s inequalities are violated in the experiment. We present a new refined entanglement scheme to model these data within standard quantum theory rules, where ‘entangled measurements and entangled evolutions’ occur, in addition to the expected ‘entangled states’, and present a full quantum representation in complex Hilbert space of the data. This stronger form of entanglement in measurements and evolutions might have relevant applications in the foundations of quantum theory, as well as in the interpretation of nonlocality tests. It could indeed explain some non-negligible ‘anomalies’ identified in EPR-Bell experiments.

Keywords

Entanglement Bell inequalities Quantum cognition EPR-Bell experiments 

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Center Leo Apostel (CLEA)Free University of Brussels (VUB)BrusselsBelgium
  2. 2.School of ManagementUniversity of LeicesterLeicesterUK

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